why3session.xml 99.7 KB
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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
 <prover
  id="0"
  name="Alt-Ergo"
  version="0.95.2"/>
 <prover
  id="1"
  name="CVC3"
  version="2.4.1"/>
 <prover
  id="2"
  name="CVC4"
  version="1.3"/>
 <prover
  id="3"
  name="Z3"
  version="3.2"/>
 <prover
  id="4"
  name="Z3"
  version="4.3.1"/>
 <file
  name="../defunctionalization.mlw"
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  verified="false"
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  expanded="true">
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  <theory
   name="Expr"
   locfile="../defunctionalization.mlw"
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   loclnum="16" loccnumb="7" loccnume="11"
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   verified="true"
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   expanded="false">
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  </theory>
  <theory
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   name="DirectSem"
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   locfile="../defunctionalization.mlw"
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   loclnum="57" loccnumb="7" loccnume="16"
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   verified="true"
   expanded="false">
   <goal
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    name="WP_parameter test"
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    locfile="../defunctionalization.mlw"
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    loclnum="115" loccnumb="4" loccnume="8"
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    expl="VC for test"
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    sum="ce63494decc689d165a0cd0d25153b1c"
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    proved="true"
    expanded="false"
    shape="t">
    <label
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     name="expl:VC for test"/>
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    <proof
     prover="0"
     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
    <proof
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     prover="1"
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     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="0.00"/>
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    </proof>
    <proof
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     prover="2"
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     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="0.00"/>
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    </proof>
    <proof
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     prover="3"
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     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="0.00"/>
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    </proof>
    <proof
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     prover="4"
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     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="0.00"/>
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    </proof>
   </goal>
  </theory>
  <theory
   name="CPS"
   locfile="../defunctionalization.mlw"
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   loclnum="128" loccnumb="7" loccnume="10"
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   verified="true"
   expanded="false">
   <goal
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    name="cps_correct_expr"
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    locfile="../defunctionalization.mlw"
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    loclnum="160" loccnumb="6" loccnume="22"
    sum="8977d25e543bda27bed96839f62c3aa3"
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    proved="true"
    expanded="false"
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    shape="ainfix =aeval_1V0V1ainfix @V1aeval_0V0F">
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    <transf
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     name="induction_ty_lex"
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     proved="true"
     expanded="false">
     <goal
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      name="cps_correct_expr.1"
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      locfile="../defunctionalization.mlw"
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      loclnum="160" loccnumb="6" loccnume="22"
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      expl="1."
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      sum="94836ba2d3860e9c583b69ea2aaec3b2"
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      proved="true"
      expanded="false"
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      shape="Cainfix =aeval_1V0V2ainfix @V2aeval_0V0FaCteVainfix =aeval_1V0V5ainfix @V5aeval_0V0FIainfix =aeval_1V3V6ainfix @V6aeval_0V3FIainfix =aeval_1V4V7ainfix @V7aeval_0V4FaSubVVV0F">
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      <proof
       prover="0"
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       timelimit="6"
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       memlimit="1000"
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       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
     </goal>
    </transf>
   </goal>
   <goal
    name="cps_correct"
    locfile="../defunctionalization.mlw"
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    loclnum="162" loccnumb="6" loccnume="17"
    sum="0c6e70c633b5819a9cadf0140121ba7b"
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    proved="true"
    expanded="false"
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    shape="ainfix =ainterpret_1V0ainterpret_0V0F">
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    <proof
     prover="0"
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     timelimit="6"
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     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
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     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
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    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
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   </goal>
  </theory>
  <theory
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   name="Defunctionalization"
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   locfile="../defunctionalization.mlw"
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   loclnum="170" loccnumb="7" loccnume="26"
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   verified="true"
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   expanded="false">
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   <goal
    name="WP_parameter size_e_pos"
    locfile="../defunctionalization.mlw"
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    loclnum="230" loccnumb="14" loccnume="24"
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    expl="VC for size_e_pos"
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    sum="a85bae935dc6af6e850ad3b71daa2ae8"
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    proved="true"
    expanded="false"
    shape="Cainfix &gt;=asize_eV0c1aCtewainfix &gt;=asize_eV0c1Iainfix &gt;=asize_eV2c1ACfaCtewainfix =V4V2Oainfix =V3V2aSubVVV0Iainfix &gt;=asize_eV1c1ACfaCtewainfix =V6V1Oainfix =V5V1aSubVVV0aSubVVV0F">
    <label
     name="why3:lemma"/>
    <label
     name="expl:VC for size_e_pos"/>
    <proof
     prover="0"
     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
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    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
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   </goal>
   <goal
    name="WP_parameter size_c_pos"
    locfile="../defunctionalization.mlw"
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    loclnum="245" loccnumb="14" loccnume="24"
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    expl="VC for size_c_pos"
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    sum="80fa560b8285882c2a060ad46bfaf839"
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    proved="true"
    expanded="false"
    shape="Cainfix &gt;=asize_cV0c0aIainfix &gt;=asize_cV0c0Iainfix &gt;=asize_cV1c0ACainfix =V2V1aA1wVainfix =V3V1aA2wVfaIV0aA1wVainfix &gt;=asize_cV0c0Iainfix &gt;=asize_cV4c0ACainfix =V5V4aA1wVainfix =V6V4aA2wVfaIV0aA2wVV0F">
    <label
     name="why3:lemma"/>
    <label
     name="expl:VC for size_c_pos"/>
    <proof
     prover="0"
     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="0.03"/>
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    </proof>
    <proof
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     prover="1"
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     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
    <proof
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     prover="2"
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     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="0.02"/>
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    </proof>
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    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
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     <result status="valid" time="0.01"/>
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    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
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    </proof>
   </goal>
   <goal
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    name="WP_parameter continue_2"
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    locfile="../defunctionalization.mlw"
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    loclnum="257" loccnumb="8" loccnume="18"
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    expl="VC for continue_2"
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    sum="7c99c79b785fff92f1a0fea31e78bfda"
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    proved="true"
    expanded="false"
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    shape="Caeval_contV0V1V5Iaeval_contV4aeval_0V2V5FAainfix &lt;ainfix +asize_cV4asize_eV2asize_cV0Aainfix &lt;=c0asize_cV0LaA2V1V3aA1VVaeval_contV0V1V8Iaeval_contV7ainfix -V6V1V8FAainfix &lt;asize_cV7asize_cV0Aainfix &lt;=c0asize_cV0aA2VVaeval_contV0V1V1aIV0F">
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    <label
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     name="expl:VC for continue_2"/>
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    <proof
     prover="0"
     timelimit="5"
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     memlimit="1000"
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     obsolete="false"
     archived="false">
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     <result status="valid" time="0.02"/>
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    </proof>
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    <transf
     name="split_goal_wp"
     proved="true"
     expanded="false">
     <goal
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      name="WP_parameter continue_2.1"
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      locfile="../defunctionalization.mlw"
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      loclnum="257" loccnumb="8" loccnume="18"
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      expl="1. variant decrease"
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      sum="910a70cdc3a3f831df27696de3167a22"
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      proved="true"
      expanded="false"
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      shape="variant decreaseCainfix &lt;ainfix +asize_cV4asize_eV2asize_cV0Aainfix &lt;=c0asize_cV0LaA2V1V3aA1VVtaA2VVtaIV0F">
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      <label
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       name="expl:VC for continue_2"/>
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      <proof
       prover="0"
       timelimit="5"
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       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.02"/>
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      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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     </goal>
     <goal
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      name="WP_parameter continue_2.2"
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      locfile="../defunctionalization.mlw"
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      loclnum="257" loccnumb="8" loccnume="18"
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      expl="2. postcondition"
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      sum="fec87d84beea291fef920984920e51d7"
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      proved="true"
      expanded="false"
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      shape="postconditionCaeval_contV0V1V5Iaeval_contV4aeval_0V2V5FLaA2V1V3aA1VVtaA2VVtaIV0F">
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      <label
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       name="expl:VC for continue_2"/>
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      <proof
       prover="0"
       timelimit="5"
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       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
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       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
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      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
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     </goal>
     <goal
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      name="WP_parameter continue_2.3"
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      locfile="../defunctionalization.mlw"
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      loclnum="257" loccnumb="8" loccnume="18"
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      expl="3. variant decrease"
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      sum="9b17320ac07197c9891336f607210704"
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      proved="true"
      expanded="false"
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      shape="variant decreaseCtaA1VVainfix &lt;asize_cV5asize_cV0Aainfix &lt;=c0asize_cV0aA2VVtaIV0F">
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      <label
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       name="expl:VC for continue_2"/>
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      <proof
       prover="0"
       timelimit="5"
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       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
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      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
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     </goal>
     <goal
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      name="WP_parameter continue_2.4"
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      locfile="../defunctionalization.mlw"
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      loclnum="257" loccnumb="8" loccnume="18"
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      expl="4. postcondition"
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      sum="967b68fc6f21f305c81ffdd7549279cd"
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      proved="true"
      expanded="false"
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      shape="postconditionCtaA1VVaeval_contV0V1V6Iaeval_contV5ainfix -V4V1V6FaA2VVtaIV0F">
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      <label
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       name="expl:VC for continue_2"/>
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      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.02"/>
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      </proof>
      <proof
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       prover="1"
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       timelimit="5"
       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
      <proof
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       prover="2"
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       timelimit="5"
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       memlimit="1000"
       obsolete="false"
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       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
      <proof
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       prover="3"
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       timelimit="5"
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       memlimit="1000"
       obsolete="false"
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       archived="false">
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       <result status="valid" time="0.02"/>
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      </proof>
      <proof
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       prover="4"
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       timelimit="5"
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       memlimit="1000"
       obsolete="false"
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       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
     <goal
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      name="WP_parameter continue_2.5"
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      locfile="../defunctionalization.mlw"
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      loclnum="257" loccnumb="8" loccnume="18"
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      expl="5. postcondition"
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      sum="d1f3bf3f34f17a58789b858a90349a63"
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      proved="true"
      expanded="false"
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      shape="postconditionCtaA1VVtaA2VVaeval_contV0V1V1aIV0F">
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      <label
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       name="expl:VC for continue_2"/>
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      <proof
       prover="0"
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       timelimit="5"
       memlimit="1000"
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       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
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       memlimit="1000"
       obsolete="false"
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       archived="false">
       <result status="valid" time="0.00"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
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       memlimit="1000"
       obsolete="false"
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       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
      <proof
       prover="3"
       timelimit="5"
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       memlimit="1000"
       obsolete="false"
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       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
      <proof
       prover="4"
       timelimit="5"
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       memlimit="1000"
       obsolete="false"
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       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
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    </transf>
   </goal>
   <goal
    name="WP_parameter eval_2"
    locfile="../defunctionalization.mlw"
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    loclnum="267" loccnumb="5" loccnume="11"
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    expl="VC for eval_2"
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    sum="ee404814abe3b7bf1aaf394bec875e52"
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    proved="true"
    expanded="false"
    shape="Caeval_contV1aeval_0V0V3Iaeval_contV1V2V3FAainfix &lt;asize_cV1ainfix +asize_cV1asize_eV0Aainfix &lt;=c0ainfix +asize_cV1asize_eV0aCteVaeval_contV1aeval_0V0V7Iaeval_contV6aeval_0V4V7FAainfix &lt;ainfix +asize_cV6asize_eV4ainfix +asize_cV1asize_eV0Aainfix &lt;=c0ainfix +asize_cV1asize_eV0LaA1V5V1aSubVVV0F">
    <label
     name="expl:VC for eval_2"/>
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.10"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
   </goal>
   <goal
    name="WP_parameter interpret_2"
    locfile="../defunctionalization.mlw"
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628
    loclnum="279" loccnumb="4" loccnume="15"
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    expl="VC for interpret_2"
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630
    sum="338ff936350158e0f7b55692e735117c"
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    proved="true"
    expanded="false"
    shape="ainfix =V1aeval_0V0Iaeval_contaIaeval_0V0V1FF">
    <label
     name="expl:VC for interpret_2"/>
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
   </goal>
   <goal
    name="WP_parameter test"
    locfile="../defunctionalization.mlw"
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680
    loclnum="283" loccnumb="4" loccnume="8"
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    expl="VC for test"
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682
    sum="10ef2ee31286d0b7da3f75a84238fb1c"
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    proved="true"
    expanded="false"
    shape="t">
    <label
     name="expl:VC for test"/>
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
   </goal>
  </theory>
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  <theory
   name="Defunctionalization2"
   locfile="../defunctionalization.mlw"
   loclnum="295" loccnumb="7" loccnume="27"
   verified="false"
   expanded="true">
   <goal
    name="WP_parameter continue_2"
    locfile="../defunctionalization.mlw"
    loclnum="367" loccnumb="8" loccnume="18"
    expl="VC for continue_2"
    sum="a721f5beeefb5a3ece85a8237bf9f403"
    proved="false"
    expanded="true"
    shape="Caeval_contV0V1V5Iaeval_contV4aeval_0V2V5FACainfix =V6asize_eV2asize_cV4aOaSVfaOasize_cV0aOLaA2V1V3aA1VVaeval_contV0V1V9Iaeval_contV8ainfix -V7V1V9FACainfix =V10asize_cV8aOaSVfaOasize_cV0aOaA2VVaeval_contV0V1V1aIV0F">
    <label
     name="expl:VC for continue_2"/>
   </goal>
   <goal
    name="WP_parameter eval_2"
    locfile="../defunctionalization.mlw"
    loclnum="377" loccnumb="5" loccnume="11"
    expl="VC for eval_2"
    sum="4f3c61ab3d84b6312bfe4dbb4c1b637f"
    proved="false"
    expanded="true"
    shape="Caeval_contV1aeval_0V0V3Iaeval_contV1V2V3FACainfix =V4asize_cV1aOaSVfaOasize_eV0asize_cV1aOaCteVaeval_contV1aeval_0V0V8Iaeval_contV7aeval_0V5V8FACainfix =V9asize_eV5asize_cV7aOaSVfaOasize_eV0asize_cV1aOLaA1V6V1aSubVVV0F">
    <label
     name="expl:VC for eval_2"/>
   </goal>
   <goal
    name="WP_parameter interpret_2"
    locfile="../defunctionalization.mlw"
    loclnum="389" loccnumb="4" loccnume="15"
    expl="VC for interpret_2"
    sum="d5644052b191b3b135ab6ffe584ac15d"
    proved="false"
    expanded="true"
    shape="ainfix =V1aeval_0V0Iaeval_contaIaeval_0V0V1FF">
    <label
     name="expl:VC for interpret_2"/>
   </goal>
   <goal
    name="WP_parameter test"
    locfile="../defunctionalization.mlw"
    loclnum="393" loccnumb="4" loccnume="8"
    expl="VC for test"
    sum="3186bcd4e5f1036788d4f50a2dc69966"
    proved="false"
    expanded="true"
    shape="t">
    <label
     name="expl:VC for test"/>
   </goal>
  </theory>
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  <theory
   name="SemWithError"
   locfile="../defunctionalization.mlw"
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   loclnum="405" loccnumb="7" loccnume="19"
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   verified="true"
   expanded="false">
   <goal
    name="WP_parameter cps_correct_expr"
    locfile="../defunctionalization.mlw"
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    loclnum="515" loccnumb="14" loccnume="30"
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    expl="VC for cps_correct_expr"
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    sum="f25403dce93e6ecc02460f9170c990c0"
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    proved="true"
    expanded="false"
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    shape="Cainfix =aeval_1V0V1ainfix @V1aeval_0V0FaCtewainfix =aeval_1V0V4ainfix @V4aeval_0V0FIainfix =aeval_1V3V5ainfix @V5aeval_0V3FACfaCtewainfix =V7V3Oainfix =V6V3aSubVVV0Iainfix =aeval_1V2V8ainfix @V8aeval_0V2FACfaCtewainfix =V10V2Oainfix =V9V2aSubVVV0aSubVVV0F">
    <label
     name="why3:lemma"/>
    <label
     name="expl:VC for cps_correct_expr"/>
    <transf
     name="split_goal_wp"
     proved="true"
     expanded="false">
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     <goal
809
      name="WP_parameter cps_correct_expr.1"
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      locfile="../defunctionalization.mlw"
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      loclnum="515" loccnumb="14" loccnume="30"
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      expl="1. postcondition"
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      sum="097f24f03a207d995db82d1f73b66a70"
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      proved="true"
      expanded="false"
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      shape="postconditionCainfix =aeval_1V0V1ainfix @V1aeval_0V0FaCtewtaSubVVV0F">
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      <label
       name="why3:lemma"/>
      <label
820
       name="expl:VC for cps_correct_expr"/>
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      <proof
       prover="0"
       timelimit="5"
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       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
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      <proof
       prover="4"
       timelimit="5"
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       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.05"/>
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      </proof>
     </goal>
     <goal
855
      name="WP_parameter cps_correct_expr.2"
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      locfile="../defunctionalization.mlw"
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      loclnum="515" loccnumb="14" loccnume="30"
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      expl="2. variant decrease"
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      sum="89865f891dc7017ce889e1dcfab555c0"
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      proved="true"
      expanded="false"
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      shape="variant decreaseCtaCtewCfaCtewainfix =V4V1Oainfix =V3V1aSubVVV0aSubVVV0F">
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      <label
       name="why3:lemma"/>
      <label
866
       name="expl:VC for cps_correct_expr"/>
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      <proof
       prover="0"
       timelimit="5"
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       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.02"/>
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      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
      <proof
       prover="4"
       timelimit="5"
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       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
     <goal
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      name="WP_parameter cps_correct_expr.3"
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      locfile="../defunctionalization.mlw"
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      loclnum="515" loccnumb="14" loccnume="30"
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      expl="3. variant decrease"
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      sum="bc7c0509b8b1e456638997c5093af325"
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      proved="true"
      expanded="false"
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      shape="variant decreaseCtaCtewCfaCtewainfix =V4V2Oainfix =V3V2aSubVVV0Iainfix =aeval_1V1V5ainfix @V5aeval_0V1FaSubVVV0F">
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      <label
       name="why3:lemma"/>
      <label
920
       name="expl:VC for cps_correct_expr"/>
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      <proof
       prover="0"
       timelimit="5"
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       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.01"/>
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      </proof>
      <proof
       prover="4"
       timelimit="5"
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       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.00"/>
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      </proof>
     </goal>
     <goal
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      name="WP_parameter cps_correct_expr.4"
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      locfile="../defunctionalization.mlw"
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      loclnum="515" loccnumb="14" loccnume="30"
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      expl="4. postcondition"
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      sum="077e80be0baaa7946b32a4bbd1cdfd4b"
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      proved="true"
      expanded="false"
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      shape="postconditionCtaCtewainfix =aeval_1V0V3ainfix @V3aeval_0V0FIainfix =aeval_1V2V4ainfix @V4aeval_0V2FIainfix =aeval_1V1V5ainfix @V5aeval_0V1FaSubVVV0F">
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      <label
       name="why3:lemma"/>
      <label
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       name="expl:VC for cps_correct_expr"/>
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      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
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       <result status="valid" time="0.04"/>
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      </proof>
     </goal>
    </transf>
   </goal>
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   <goal
    name="cps_correct"
    locfile="../defunctionalization.mlw"
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    loclnum="525" loccnumb="6" loccnume="17"
    sum="e99299eb01514de4d806650e4df34ea4"
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    proved="true"
    expanded="false"
    shape="ainfix =ainterpret_1V0ainterpret_0V0F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.00"/>
    </proof>
   </goal>
   <goal
    name="cps2_correct_expr_aux"
    locfile="../defunctionalization.mlw"
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    loclnum="577" loccnumb="6" loccnume="27"
    sum="018546484e7685351adf1c4d2466c634"
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    proved="true"
    expanded="false"
    shape="ainfix =aeval_2aSubV1V2V0V3aeval_2V1aeval_2aV2V0V3V3F">
    <proof
     prover="0"
     timelimit="6"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
   </goal>
   <goal
    name="cps2_correct_expr"
    locfile="../defunctionalization.mlw"
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    loclnum="581" loccnumb="6" loccnume="23"
    sum="270170821a96b9f803f69ff884ade3d4"
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    proved="true"
    expanded="false"
    shape="ainfix =aeval_2V0V2V1Cainfix @V2V3aVnumVainfix @V1aTuple0aUnderflowaeval_0V0F">
    <transf
     name="induction_ty_lex"
     proved="true"
     expanded="false">
     <goal
      name="cps2_correct_expr.1"
      locfile="../defunctionalization.mlw"
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      loclnum="581" loccnumb="6" loccnume="23"
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      expl="1."
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      sum="261e6727b0be4cb5d5e52d08e3d3f900"
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      proved="true"
      expanded="false"
      shape="Cainfix =aeval_2V0V3V2Cainfix @V3V4aVnumVainfix @V2aTuple0aUnderflowaeval_0V0FaCteVainfix =aeval_2V0V8V7Cainfix @V8V9aVnumVainfix @V7aTuple0aUnderflowaeval_0V0FIainfix =aeval_2V5V11V10Cainfix @V11V12aVnumVainfix @V10aTuple0aUnderflowaeval_0V5FIainfix =aeval_2V6V14V13Cainfix @V14V15aVnumVainfix @V13aTuple0aUnderflowaeval_0V6FaSubVVV0F">
      <transf
       name="split_goal_wp"
       proved="true"
       expanded="false">
       <goal
        name="cps2_correct_expr.1.1"
        locfile="../defunctionalization.mlw"
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        loclnum="581" loccnumb="6" loccnume="23"
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        expl="1."
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        sum="4b1a3e28e030bc7ddb4497d8c09b00b6"
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        proved="true"
        expanded="false"
        shape="Cainfix =aeval_2V0V3V2Cainfix @V3V4aVnumVainfix @V2aTuple0aUnderflowaeval_0V0FaCteVtaSubVVV0F">
        <proof
         prover="0"
         timelimit="6"
         memlimit="1000"
         obsolete="false"
         archived="false">
         <result status="valid" time="0.01"/>
        </proof>
       </goal>
       <goal
        name="cps2_correct_expr.1.2"
        locfile="../defunctionalization.mlw"
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        loclnum="581" loccnumb="6" loccnume="23"
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        expl="2."
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        sum="6734c573ea9d4e08dd7946f1cdb17b01"
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        proved="true"
        expanded="false"
        shape="CtaCteVainfix =aeval_2V0V5V4Cainfix @V5V6aVnumVainfix @V4aTuple0aUnderflowaeval_0V0FIainfix =aeval_2V2V8V7Cainfix @V8V9aVnumVainfix @V7aTuple0aUnderflowaeval_0V2FIainfix =aeval_2V3V11V10Cainfix @V11V12aVnumVainfix @V10aTuple0aUnderflowaeval_0V3FaSubVVV0F">
        <proof
         prover="4"
         timelimit="6"
         memlimit="1000"
         obsolete="false"
         archived="false">
         <result status="valid" time="0.01"/>
        </proof>
       </goal>
      </transf>
     </goal>
    </transf>
   </goal>
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   <goal
    name="cps2_correct"
    locfile="../defunctionalization.mlw"
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    loclnum="585" loccnumb="6" loccnume="18"
    sum="dbea92ea622850a1161851e0e53af70d"
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    proved="true"
    expanded="false"
    shape="ainfix =ainterpret_2V0ainterpret_0V0F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.02"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="3"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="4"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.01"/>
    </proof>
   </goal>
   <goal
    name="WP_parameter cps3_correct_expr"
    locfile="../defunctionalization.mlw"
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    loclnum="618" loccnumb="14" loccnume="31"
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    expl="VC for cps3_correct_expr"
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    sum="697c766ed876600d189a41eed9cdb729"
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    proved="true"
    expanded="false"
    shape="Cainfix =aeval_3V0V1Cainfix @V1V2aVnumVaUnderflowaUnderflowaeval_0V0FaCtewainfix =aeval_3V0V5Cainfix @V5V6aVnumVaUnderflowaUnderflowaeval_0V0FAainfix =aeval_3V0V7aeval_3V3aeval_3aV4V7FIainfix =aeval_3V4V8Cainfix @V8V9aVnumVaUnderflowaUnderflowaeval_0V4FACfaCtewainfix =V11V4Oainfix =V10V4aSubVVV0Iainfix =aeval_3V3V12Cainfix @V12V13aVnumVaUnderflowaUnderflowaeval_0V3FACfaCtewainfix =V15V3Oainfix =V14V3aSubVVV0aSubVVV0F">
    <label
     name="why3:lemma"/>
    <label
     name="expl:VC for cps3_correct_expr"/>
    <transf
     name="split_goal_wp"
     proved="true"
     expanded="false">
     <goal
      name="WP_parameter cps3_correct_expr.1"
      locfile="../defunctionalization.mlw"
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      loclnum="618" loccnumb="14" loccnume="31"
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      expl="1. postcondition"
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      sum="637ea0d8c86096ab750703bd6dbc69bc"
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      proved="true"
      expanded="false"
      shape="postconditionCainfix =aeval_3V0V1Cainfix @V1V2aVnumVaUnderflowaUnderflowaeval_0V0FaCtewtaSubVVV0F">
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      <label
       name="why3:lemma"/>
      <label
       name="expl:VC for cps3_correct_expr"/>
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      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
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       obsolete="false"
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       archived="false">
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       <result status="valid" time="0.02"/>
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      </proof>
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      <proof
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       prover="1"
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       timelimit="5"
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       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.03"/>
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      </proof>
      <proof
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       prover="2"
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       timelimit="5"
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       memlimit="1000"
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       obsolete="false"
       archived="false">
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       <result status="valid" time="0.04"/>
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      </proof>
     </goal>
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     <goal
      name="WP_parameter cps3_correct_expr.2"
      locfile="../defunctionalization.mlw"
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      loclnum="618" loccnumb="14" loccnume="31"
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      expl="2. variant decrease"
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      sum="13619082089de63a9579d25693d7e6fd"
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      proved="true"
      expanded="false"
      shape="variant decreaseCtaCtewCfaCtewainfix =V4V1Oainfix =V3V1aSubVVV0aSubVVV0F">
      <label
       name="why3:lemma"/>
      <label
       name="expl:VC for cps3_correct_expr"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter cps3_correct_expr.3"
      locfile="../defunctionalization.mlw"
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      loclnum="618" loccnumb="14" loccnume="31"
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      expl="3. variant decrease"
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      sum="67dd17cb4fc762e667a7fa770fccf833"
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      proved="true"
      expanded="false"
      shape="variant decreaseCtaCtewCfaCtewainfix =V4V2Oainfix =V3V2aSubVVV0Iainfix =aeval_3V1V5Cainfix @V5V6aVnumVaUnderflowaUnderflowaeval_0V1FaSubVVV0F">
      <label
       name="why3:lemma"/>
      <label
       name="expl:VC for cps3_correct_expr"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.01"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter cps3_correct_expr.4"
      locfile="../defunctionalization.mlw"
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      loclnum="618" loccnumb="14" loccnume="31"
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      expl="4. assertion"
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      sum="6f969051c2d19a914d6eb86dabd90ea5"
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      proved="true"
      expanded="false"
      shape="assertionCtaCtewainfix =aeval_3V0V3aeval_3V1aeval_3aV2V3FIainfix =aeval_3V2V4Cainfix @V4V5aVnumVaUnderflowaUnderflowaeval_0V2FIainfix =aeval_3V1V6Cainfix @V6V7aVnumVaUnderflowaUnderflowaeval_0V1FaSubVVV0F">
      <label
       name="why3:lemma"/>
      <label
       name="expl:VC for cps3_correct_expr"/>
      <proof
       prover="0"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="1"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="2"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.04"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.02"/>
      </proof>
     </goal>
     <goal
      name="WP_parameter cps3_correct_expr.5"
      locfile="../defunctionalization.mlw"
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      loclnum="618" loccnumb="14" loccnume="31"
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      expl="5. postcondition"
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      sum="38a733a625e86f7c1b34f6dbfebda9dd"
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      proved="true"
      expanded="false"
      shape="postconditionCtaCtewainfix =aeval_3V0V3Cainfix @V3V4aVnumVaUnderflowaUnderflowaeval_0V0FIainfix =aeval_3V0V5aeval_3V1aeval_3aV2V5FIainfix =aeval_3V2V6Cainfix @V6V7aVnumVaUnderflowaUnderflowaeval_0V2FIainfix =aeval_3V1V8Cainfix @V8V9aVnumVaUnderflowaUnderflowaeval_0V1FaSubVVV0F">
      <label
       name="why3:lemma"/>
      <label
       name="expl:VC for cps3_correct_expr"/>
      <proof
       prover="3"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.05"/>
      </proof>
      <proof
       prover="4"
       timelimit="5"
       memlimit="1000"
       obsolete="false"
       archived="false">
       <result status="valid" time="0.03"/>
      </proof>
     </goal>
    </transf>
   </goal>
   <goal
    name="cps3_correct"
    locfile="../defunctionalization.mlw"
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    loclnum="630" loccnumb="6" loccnume="18"
    sum="230af7cc574f7c93d81d8ee47c63f807"
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    proved="true"
    expanded="false"
    shape="ainfix =ainterpret_3V0ainterpret_0V0F">
    <proof
     prover="0"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="1"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>
    </proof>
    <proof
     prover="2"
     timelimit="5"
     memlimit="1000"
     obsolete="false"
     archived="false">
     <result status="valid" time="0.03"/>